Table Of The Areas Of Regular Polygons Each Of Whose Sides Is Unity
Description
This section is from the book "The Tinman's Manual And Builder's And Mechanic's Handbook", by Isaac Ridler Butt. Also available from Amazon: The Tinman's Manual And Builder's And Mechanic's Handbook.
Table Of The Areas Of Regular Polygons Each Of Whose Sides Is Unity
Name of Polygon. | No of Sides | Apothem or Perpend'lar. | Area when Side is Unity | Interior Angle. | Central Angle. |
Triangle | 3 | 0.2887 | 0.4330 | 60° 0' | 120° 0' |
4 | 0.5 | 1. | 90. 0 | 90 0 | |
Pentagon | 5 | 0.6882 | 1.7205 | 108 0 | 72 0 |
Hexagon | 6 | 0.8660 | 2.5981 | 120 0 | 60 0 |
Heptagon | 7 | 1.0386 | 3.6339 | 128 34f | 51 25 3/7 |
Octagon | 8 | 1.2071 | 4.8284 | 135 0 | 45 0 |
Nonagon | 9 | 1.3737 | 6.1818 | 140 0 | 40 0 |
Decagon | 10 | 1.5388 | 7.6942 | 144 0 | 36 0 |
Undecagon | 11 | 1.7028 | 9.3656 | 147 16 4/11 | 32 43 7/11 |
Dodecagon | 12 | 1.8660 | 11.1962 | 150 0 | 30 0 |
The tabular area of the corresponding polygon multiplied by the square of the side of the given polygon equals the area of the given polygon.
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